Consider three $$thin$$ concentric conducting spherical shells with radii a $<$ b $<$ c respectively. Initially all

three shells are neutral. Then a negative charge $$Q$0$ is placed on the innermost sphere, a matching positive

charge $+$Q$0$ is placed on the outermost sphere, and the arrangement is allowed to come to equilibrium.

$($a$)$ Find the electric field everywhere and plot it$.$

$($b$)$ Make a table showing the net charge on the inner and outer surfaces of each conducting shell